Report of the fit

Fit summary

Description: PV19 version x, parameters for NNLL
Minimiser: ceres
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: True
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
-0.05651150850119966	1.6027888644000163	0.7249039013242403	0.9073457205932122	0.3543394928378163	0.020375939002791388	0.09386203899849682	0.0274857746762149	0.019920085284356754

Theory summary

Collinear PDF set: MMHT2014nlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NNLL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 123
\chi_{0}^2 = 1.6686
\chi_{mean}^2 = 1.6187
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.699 \pm 0.0179
\langle E \rangle \pm \sigma_{E} = 2.7067 \pm 0.1822

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	-0.057632624	-0.06067214 \pm 0.00991237	False
N_1	2.9759481	3.9825571 \pm 2.90529141	False
\alpha	1.1506021	1.44479698 \pm 0.82949205	False
\sigma	1.0075239	1.04188758 \pm 0.12926533	False
\lambda	0.41068867	0.38967438 \pm 0.05760985	False
N_{1B}	0.020634549	0.01698134 \pm 0.02448685	False
\alpha_B	0.093901444	0.08480947 \pm 0.01835043	False
\sigma_B	0.027372726	0.07070338 \pm 0.22613747	False
g_{2B}	0.022667287	0.0221229 \pm 0.00389806	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.6238	0.1214	0.7452
E605_Q_8_9	8	1.3045	0.0691	1.3736
E605_Q_10.5_11.5	10	0.3757	0.1109	0.4866
E605_Q_11.5_13.5	12	0.8441	0.5623	1.4064
E605_Q_13.5_18	13	1.5147	0.8465	2.3612
E288_200_Q_4_5	4	0.7664	0.7988	1.5652
E288_200_Q_5_6	5	2.1307	0.4234	2.5541
E288_200_Q_6_7	6	0.7444	0.2812	1.0257
E288_200_Q_7_8	7	0.8839	0.0264	0.9103
E288_200_Q_8_9	8	0.6539	0.0276	0.6815
E288_300_Q_4_5	4	0.6072	0.1654	0.7725
E288_300_Q_5_6	5	1.1438	0.0536	1.1973
E288_300_Q_6_7	6	0.7982	0.0225	0.8208
E288_300_Q_7_8	7	0.2511	0.0364	0.2876
E288_300_Q_8_9	8	0.4295	0.0385	0.468
E288_300_Q_11_12	9	0.3634	0.2529	0.6163
E288_400_Q_5_6	5	0.5715	0.0304	0.6019
E288_400_Q_6_7	6	0.2342	0.0352	0.2694
E288_400_Q_7_8	7	0.0678	0.0442	0.112
E288_400_Q_8_9	8	0.4449	0.0392	0.4841
E288_400_Q_11_12	11	0.4828	0.0234	0.5062
E288_400_Q_12_13	12	0.5065	0.0338	0.5403
E288_400_Q_13_14	12	0.3174	0.0814	0.3988
STAR_510	7	1.2387	0.01	1.2486
CDF_RunI	25	0.7072	0.144	0.8512
CDF_RunII	26	1.3213	0.01	1.3313
D0_RunI	12	0.7239	0.0022	0.7262
D0_RunII	5	0.7471	0.2832	1.0303
D0_RunIImu	3	0.0917	0.0626	0.1542
LHCb_7TeV	7	1.8719	0.84	2.7119
LHCb_8TeV	7	1.575	1.4168	2.9918
LHCb_13TeV	7	1.3457	0.2828	1.6285
CMS_7TeV	4	2.9143	0	2.9143
CMS_8TeV	4	1.5396	0.1872	1.7268
ATLAS_7TeV_y_0_1	6	7.3245	1.0659	8.3904
ATLAS_7TeV_y_1_2	6	5.305	0.4723	5.7773
ATLAS_7TeV_y_2_2.4	6	1.9714	0.0117	1.9831
ATLAS_8TeV_y_0_0.4	6	5.2343	1.0322	6.2665
ATLAS_8TeV_y_0.4_0.8	6	7.0149	1.5624	8.5772
ATLAS_8TeV_y_0.8_1.2	6	4.3759	0.6204	4.9962
ATLAS_8TeV_y_1.2_1.6	6	2.9863	0.386	3.3723
ATLAS_8TeV_y_1.6_2	6	2.8329	0.2559	3.0888
ATLAS_8TeV_y_2_2.4	6	2.2342	0.2927	2.5268
ATLAS_8TeV_Q_46_66	4	0.8297	0.0468	0.8764
ATLAS_8TeV_Q_116_150	8	1.2064	0.0081	1.2144
Total	353	-	-	1.6686

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	1.0413	0.1653	1.2067
E605_Q_8_9	8	1.9883	0.0692	2.0574
E605_Q_10.5_11.5	10	0.289	0.1021	0.3912
E605_Q_11.5_13.5	12	0.4054	0.3274	0.7328
E605_Q_13.5_18	13	0.4925	0.4774	0.9699
E288_200_Q_4_5	4	0.3056	0.3168	0.6225
E288_200_Q_5_6	5	0.9947	0.2239	1.2186
E288_200_Q_6_7	6	0.3204	0.1594	0.4798
E288_200_Q_7_8	7	0.5654	0.031	0.5963
E288_200_Q_8_9	8	0.7568	0.0124	0.7692
E288_300_Q_4_5	4	0.3959	0.0655	0.4614
E288_300_Q_5_6	5	0.7728	0.0311	0.8039
E288_300_Q_6_7	6	0.4961	0.0182	0.5143
E288_300_Q_7_8	7	0.1204	0.0309	0.1513
E288_300_Q_8_9	8	0.3481	0.0395	0.3876
E288_300_Q_11_12	9	1.1611	0.1952	1.3563
E288_400_Q_5_6	5	0.5332	0.0536	0.5868
E288_400_Q_6_7	6	0.1591	0.0472	0.2063
E288_400_Q_7_8	7	0.0282	0.0521	0.0803
E288_400_Q_8_9	8	0.571	0.038	0.6091
E288_400_Q_11_12	11	0.6297	0.0147	0.6445
E288_400_Q_12_13	12	0.705	0.0203	0.7253
E288_400_Q_13_14	12	0.5264	0.0758	0.6022
STAR_510	7	1.0982	0.033	1.1312
CDF_RunI	25	0.5492	0.1396	0.6888
CDF_RunII	26	1.277	0.0054	1.2824
D0_RunI	12	0.7523	0.0008	0.7531
D0_RunII	5	0.6181	0.2753	0.8934
D0_RunIImu	3	0.1504	0.0802	0.2306
LHCb_7TeV	7	1.7073	0.8373	2.5446
LHCb_8TeV	7	1.6073	1.3343	2.9416
LHCb_13TeV	7	1.2351	0.2661	1.5012
CMS_7TeV	4	2.9437	0	2.9437
CMS_8TeV	4	1.6294	0.2037	1.8331
ATLAS_7TeV_y_0_1	6	7.8261	1.0375	8.8636
ATLAS_7TeV_y_1_2	6	5.4844	0.4931	5.9775
ATLAS_7TeV_y_2_2.4	6	2.2383	0.0132	2.2515
ATLAS_8TeV_y_0_0.4	6	5.6345	1.0816	6.7161
ATLAS_8TeV_y_0.4_0.8	6	7.1082	1.6795	8.7877
ATLAS_8TeV_y_0.8_1.2	6	4.5226	0.6608	5.1834
ATLAS_8TeV_y_1.2_1.6	6	3.0431	0.4013	3.4444
ATLAS_8TeV_y_1.6_2	6	2.8589	0.2841	3.143
ATLAS_8TeV_y_2_2.4	6	3.0846	0.3833	3.4678
ATLAS_8TeV_Q_46_66	4	0.832	0.0766	0.9087
ATLAS_8TeV_Q_116_150	8	1.2569	0.0044	1.2614
Total	353	-	-	1.6187

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.7432 \pm 0.1616
E605_Q_8_9	8	1.4255 \pm 0.2666
E605_Q_10.5_11.5	10	0.5176 \pm 0.0553
E605_Q_11.5_13.5	12	1.4606 \pm 0.1141
E605_Q_13.5_18	13	2.3576 \pm 0.1744
E288_200_Q_4_5	4	1.6882 \pm 0.2984
E288_200_Q_5_6	5	2.5667 \pm 0.2263
E288_200_Q_6_7	6	1.0203 \pm 0.1495
E288_200_Q_7_8	7	0.881 \pm 0.1447
E288_200_Q_8_9	8	0.6676 \pm 0.0623
E288_300_Q_4_5	4	0.8535 \pm 0.1861
E288_300_Q_5_6	5	1.2042 \pm 0.1686
E288_300_Q_6_7	6	0.7994 \pm 0.1787
E288_300_Q_7_8	7	0.2826 \pm 0.0889
E288_300_Q_8_9	8	0.4933 \pm 0.0435
E288_300_Q_11_12	9	0.6226 \pm 0.074
E288_400_Q_5_6	5	0.5998 \pm 0.1633
E288_400_Q_6_7	6	0.2682 \pm 0.1374
E288_400_Q_7_8	7	0.1264 \pm 0.0959
E288_400_Q_8_9	8	0.5005 \pm 0.0706
E288_400_Q_11_12	11	0.5285 \pm 0.0732
E288_400_Q_12_13	12	0.5632 \pm 0.0512
E288_400_Q_13_14	12	0.3997 \pm 0.0756
STAR_510	7	1.2353 \pm 0.0904
CDF_RunI	25	0.8573 \pm 0.0399
CDF_RunII	26	1.4921 \pm 0.217
D0_RunI	12	0.7562 \pm 0.0507
D0_RunII	5	1.2175 \pm 0.3092
D0_RunIImu	3	0.2007 \pm 0.1525
LHCb_7TeV	7	2.722 \pm 0.0744
LHCb_8TeV	7	3.0174 \pm 0.1745
LHCb_13TeV	7	1.6371 \pm 0.0402
CMS_7TeV	4	2.921 \pm 0.0166
CMS_8TeV	4	1.7485 \pm 0.0684
ATLAS_7TeV_y_0_1	6	8.4585 \pm 0.2608
ATLAS_7TeV_y_1_2	6	5.8815 \pm 0.1855
ATLAS_7TeV_y_2_2.4	6	1.9866 \pm 0.1213
ATLAS_8TeV_y_0_0.4	6	6.2521 \pm 0.2219
ATLAS_8TeV_y_0.4_0.8	6	8.6274 \pm 0.1297
ATLAS_8TeV_y_0.8_1.2	6	5.0667 \pm 0.15
ATLAS_8TeV_y_1.2_1.6	6	3.4761 \pm 0.1573
ATLAS_8TeV_y_1.6_2	6	3.2569 \pm 0.2928
ATLAS_8TeV_y_2_2.4	6	2.2757 \pm 0.4488
ATLAS_8TeV_Q_46_66	4	0.8699 \pm 0.0244
ATLAS_8TeV_Q_116_150	8	1.2264 \pm 0.0262
Total	353	1.699 \pm 0.0179